How Do You Find Volume Using PV=nRT?

[goonking]

Homework Statement

Homework Equations

PV = nRT

The Attempt at a Solution

n = 5.3 moles
R = 8.31 J/(mol K)
T = 273 K
now, with P, do we use 1 atm or 1.013 x 10⁵

i'll go with the latter, and the answer comes out to be 0.119 liters , does this sound correct?

 

[Raghav Gupta]

Homework Statement

View attachment 83502

Homework Equations

PV = nRT

The Attempt at a Solution

n = 5.3 moles
R = 8.31 J/(mol K)
T = 273 K
now, with P, do we use 1 atm or 1.013 x 10⁵

i'll go with the latter, and the answer comes out to be 0.119 liters , does this sound correct?

What is R in terms of liter-atm/mol K ?

 

[goonking]

What is R in terms of liter-atm/mol K ?

hmm, it is 0.082

also, do we normally express P in Pascals or atm?

 

[Raghav Gupta]

hmm, it is 0.082

also, do we normally express P in Pascals or atm?

In SI units it is Pa but normally it is a very small unit.
In our day to day life we use atm.
Remember if you are solving you should keep a track on units.
Your attempt is also good.
You will get answer in m³ and then 1m³ = 1000 liter.

 

[goonking]

In SI units it is Pa but normally it is a very small unit.
In our day to day life we use atm.
Remember if you are solving you should keep a track on units.
Your attempt is also good.
You will get answer in m³ and then 1m³ = 1000 liter.

hmmm, is 1.19 L correct?

 

[Raghav Gupta]

hmmm, is 1.19 L correct?

No, can you show what have you done?

 

[goonking]

No, can you show what have you done?

P V = n R T
(1.013x10⁵) V = (5.3 moles )( 0.082 liter-atm/mol K) (273K)

V = 0.00119 , I'm pretty sure this is in liters

 

[Raghav Gupta]

P V = n R T
(1.013x10⁵) V = (5.3 moles )( 0.082 liter-atm/mol K) (273K)

V = 0.00119 , I'm pretty sure this is in liters

But P should be in atm then.
I said keep track of units.
So take P = 1atm.

 

[goonking]

But P should be in atm then.
I said keep track of units.
So take P = 1atm.

so V = (5.3 moles )( 0.082 liter-atm/mol K) (273K) = 118.64 Liters?

thats huge for a bottle

 

[Raghav Gupta]

so V = (5.3 moles )( 0.082 liter-atm/mol K) (273K) = 118.64 Liters?

thats huge for a bottle

Yeah, that was what I was getting.

Yeah, that is huge for a bottle but holding 5.3 moles of an ideal gas is a big thing.